Calculation of the Alpha--Particle Ground State within the Hyperspherical Harmonic Basis

Physics – Nuclear Physics – Nuclear Theory

Scientific paper

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29 pages, 4 figures, 11 tables, revtex4

Scientific paper

10.1103/PhysRevC.71.024006

The problem of calculating the four--nucleon bound state properties for the case of realistic two- and three-body nuclear potentials is studied using the hyperspherical harmonic (HH) approach. A careful analysis of the convergence of different classes of HH functions has been performed. A restricted basis is chosen to allow for accurate estimates of the binding energy and other properties of the 4He ground state. Results for various modern two-nucleon and two- plus three-nucleon interactions are presented. The 4He asymptotic normalization constants for separation in 2+2 and 1+3 clusters are also computed.

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